396376848 has 320 divisors, whose sum is σ = 1399910400. Its totient is φ = 104924160.

The previous prime is 396376847. The next prime is 396376853. The reversal of 396376848 is 848673693.

It is a super-2 number, since 2×396376848² = 314229211260830208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 396376794 and 396376803.

It is not an unprimeable number, because it can be changed into a prime (396376847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2851563 + ... + 2851701.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^396376848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396376848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

396376848 is an abundant number, since it is smaller than the sum of its proper divisors (1003533552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

396376848 is a wasteful number, since it uses less digits than its factorization.

396376848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 396376848 is about 19909.2151527879. The cubic root of 396376848 is about 734.5749145501.

The spelling of 396376848 in words is "three hundred ninety-six million, three hundred seventy-six thousand, eight hundred forty-eight".